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Table 3 Simulation results for dataset D 2

From: Unsupervised Bayesian linear unmixing of gene expression microarrays

(a) R= 2
  uBLU PCA NMF BFRM GB-GMF
MSE r 2 0.09 1.97 N/A N/A N/A
  0.14 N/A 1.06 37.67 58.75
  0.14 0.12 26.68 52.09 150.09
GMSE r 2 (×1 0 1 ) 0.34 0.01 N/A N/A N/A
  0.15 N/A 1.12 1.17 22.37
  0.09 0.94 6.24 0.62 1.18
SAD r 2 (×1 0 1 ) 0.39 0.44 N/A N/A N/A
  0.48 N/A 1.32 16.53 13.34
  0.47 0.44 3.72 15.21 18.14
GSAD (×10−2) 1.51 1.02 1.53 37.99 129.40
RE (×10−2) 0.64 1.62 1.65 0.65 5.47
Time (s) 22.06×103 0.29 32.02 4.07×103 9.24×103
(b) R = 3
  uBLU PCA NMF BFRM GB-GMF
MSE r 2 0.09 1.97 14.87 24.41 61.00
  0.14 0.01 20.53 50.59 58.31
  0.14 0.09 14.02 35.89 65.11
GMSE r 2 (×1 0 1 ) 0.34 0.03 0.34 1.41 4.80
  0.15 0.02 2.44 0.65 9.40
  0.09 0.05 0.92 1.19 5.40
SAD r 2 (×1 0 1 ) 0.39 0.44 2.84 14.35 13.72
  0.48 0.12 4.75 15.47 13.62
  0.47 0.37 4.00 17.50 15.82
GSAD (×10−2) 1.02 1.02 1.49 29.29 129.29
RE (×10−2) 0.64 0.63 1.55 0.75 1.62
Time (s) 22.06×103 0.28 45.91 5.37×103 16.59×103
(c) R = 4
  uBLU PCA NMF BFRM GB-GMF
MSE r 2 0.09 1.97 13.13 24.25 64.90
  0.14 0.01 20.53 50.52 64.09
  0.14 0.09 14.02 28.32 69.99
GMSE r 2 (×1 0 1 ) 0.34 0.09 0.20 1.42 15.12
  0.15 0.48 1.00 0.65 9.55
  0.09 0.05 0.44 1.31 7.73
SAD r 2 (×1 0 1 ) 0.39 0.44 2.54 14.74 14.53
  0.48 0.13 5.52 15.45 14.55
  0.47 0.37 4.79 16.45 16.17
GSAD (×10−2) 1.02 1.01 1.06 40.36 129.29
RE (×10−2) 0.64 0.63 0.69 0.86 1.50
Time (s) 22.06×103 0.54 55.86 5.59×103 16.59×103
  1. MSEs, GMSEs, SADs, GSADs, REs and computational times between the proposed uBLU algorithm and PCA, NMF, BFRM and GB-GMF methods.